Metrics for math.log/2 on complex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze162.0ms (2.7%)

Memory

4.9MiB live, 339.1MiB allocated; 30ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	49.9%	0.1%	0%	49.9%	0%	4
0%	0%	49.9%	0.1%	0%	49.9%	0%	5
0%	0%	49.9%	0.1%	0%	49.9%	0%	6
9.4%	4.7%	45.2%	0.1%	0%	49.9%	0%	7
17.2%	8.6%	41.3%	0.1%	0%	49.9%	0%	8
27.3%	13.7%	36.3%	0.1%	0%	49.9%	0%	9
41%	20.5%	29.4%	0.1%	0%	49.9%	0%	10
48.6%	24.3%	25.6%	0.1%	0%	49.9%	0%	11
57.1%	28.5%	21.4%	0.1%	0%	49.9%	0%	12

Compiler

Compiled 30 to 17 computations (43.3% saved)

sample1.4s (23.8%)

Memory

15.3MiB live, 2 241.4MiB allocated; 562ms collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 795.0ms

ival-hypot: 221.0ms (27.8% of total)

ival-log: 197.0ms (24.8% of total)

ival-mult!: 142.0ms (17.9% of total)

ival-add!: 132.0ms (16.6% of total)

ival-atan2: 67.0ms (8.4% of total)

ival-div!: 35.0ms (4.4% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

preprocess36.0ms (0.6%)

Memory

10.4MiB live, 56.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	197
1	502	177

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.1%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Status

Accuracy

Program

▶

53.1%

(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 56 to 36 computations (35.7% saved)

series335.0ms (5.6%)

Memory

1.3MiB live, 579.8MiB allocated; 57ms collecting garbage

Counts

18 → 112

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im
(log.f64 base)
base
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
(atan2.f64 im re)
#s(literal 0 binary64)
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64))))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (+ (* re re) (* im im)) (pow.f64 im #s(literal 2 binary64)))
#s(approx (+ (* re re) (* im im)) (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
#s(approx (* re re) (pow.f64 re #s(literal 2 binary64)))
#s(approx re re)
#s(approx (* (atan2 im re) 0) #s(literal 0 binary64))
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (log.f64 base) (fma.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64)))))))
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#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (log.f64 base) (fma.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64))))) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base)))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log base) (log.f64 base))
#s(approx base base)
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (log base) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))

Calls

9 calls:

Time	Variable	Point
74.0ms	base	0
25.0ms	base	-inf
18.0ms	base	inf
9.0ms	re	inf
3.0ms	re	0

rewrite182.0ms (3%)

Memory

28.7MiB live, 189.8MiB allocated; 78ms collecting garbage

Counts

18 → 77

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im
(log.f64 base)
base
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
(atan2.f64 im re)
#s(literal 0 binary64)
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))

Outputs
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 0 binary64) #s(literal 3 binary64))
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 0 binary64) #s(literal 3 binary64))
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 0 binary64) #s(literal 3 binary64))
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 0 binary64) #s(literal 3 binary64))
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 0 binary64) #s(literal 3 binary64))
(*.f64 (+.f64 im re) (-.f64 re im))
(*.f64 (+.f64 im re) (-.f64 im re))
(*.f64 (-.f64 re im) (+.f64 im re))
(*.f64 (-.f64 (fabs.f64 re) (fabs.f64 im)) (-.f64 (fabs.f64 re) (fabs.f64 im)))
(*.f64 (neg.f64 (+.f64 im re)) (-.f64 re im))
(*.f64 re re)
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 (fabs.f64 re) (neg.f64 re))
(*.f64 (fabs.f64 re) re)
(*.f64 (neg.f64 re) (fabs.f64 re))
re
(neg.f64 (neg.f64 re))
(*.f64 im im)
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (fabs.f64 im) (neg.f64 im))
(*.f64 (fabs.f64 im) im)
(*.f64 (neg.f64 im) (neg.f64 im))
im
(neg.f64 (neg.f64 im))
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 0 binary64) #s(literal 3 binary64))
base
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 0 binary64) #s(literal 3 binary64))
(atan2.f64 im re)
(neg.f64 (neg.f64 (atan2.f64 im re)))
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 0 binary64) #s(literal 3 binary64))
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 0 binary64) #s(literal 3 binary64))
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 0 binary64) #s(literal 3 binary64))
#s(literal 0 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 0 binary64) #s(literal 3 binary64))

eval59.0ms (1%)

Memory: -7.7MiB live, 53.1MiB allocated; 45ms collecting garbage
Compiler: Compiled 6 322 to 857 computations (86.4% saved)

prune17.0ms (0.3%)

Memory

-16.7MiB live, 30.1MiB allocated; 11ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	120	13	133
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	13	134

Accuracy

99.2%

Counts

134 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	10.1%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.2%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	53.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base)))
	10.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))))
▶	98.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))
▶	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))
	9.4%	#s(literal 2 binary64)
	9.7%	#s(literal 1 binary64)
▶	3.1%	#s(literal 0 binary64)

Compiler

Compiled 756 to 534 computations (29.4% saved)

series577.0ms (9.6%)

Memory

-42.3MiB live, 934.0MiB allocated; 246ms collecting garbage

Counts

30 → 93

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
#s(literal -1 binary64)
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))
(log.f64 (/.f64 #s(literal 1 binary64) im))
(/.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
im
(log.f64 base)
base
#s(literal 0 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))
(log.f64 (/.f64 #s(literal -1 binary64) im))
(/.f64 #s(literal -1 binary64) im)
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))))
(.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))
(log.f64 (/.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) re)
re

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64))))))))))
#s(approx (* -1 (* (log base) (log (/ 1 re)))) (*.f64 (log.f64 base) (log.f64 re)))
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#s(approx (log (/ -1 im)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (log.f64 base) (fma.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64))))) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (* (log base) (log (/ -1 im))) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base)))
#s(approx (log base) (log.f64 base))
#s(approx base base)
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (* -1 (/ (log (/ 1 im)) (log base))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (/ (log (/ 1 im)) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (log base) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (* -1 (/ (log (/ -1 im)) (log base))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (/ (log (/ -1 im)) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (* -1 (* (log base) (log (/ -1 im)))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (* (log base) (log (/ -1 im))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))
#s(approx (* -1 (* (log base) (log (/ 1 re)))) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (* (log base) (log (/ 1 re))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 (/.f64 #s(literal 1 binary64) re)))))

Calls

9 calls:

Time	Variable	Point
86.0ms	base	0
85.0ms	re	-inf
64.0ms	base	inf
53.0ms	base	-inf
49.0ms	im	-inf

rewrite209.0ms (3.5%)

Memory

34.6MiB live, 366.8MiB allocated; 30ms collecting garbage

Counts

30 → 117

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
#s(literal -1 binary64)
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))
(log.f64 (/.f64 #s(literal 1 binary64) im))
(/.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
im
(log.f64 base)
base
#s(literal 0 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))
(log.f64 (/.f64 #s(literal -1 binary64) im))
(/.f64 #s(literal -1 binary64) im)
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))))
(.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))
(log.f64 (/.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) re)
re

Outputs
#s(approx 2 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal -1 binary64)
(neg.f64 (neg.f64 #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
base
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(approx 2 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
(/.f64 #s(literal -1 binary64) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(literal -1 binary64)) #s(literal 1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
(/.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx 2 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
(/.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx 2 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im

eval12.0ms (0.2%)

Memory: -15.5MiB live, 30.6MiB allocated; 2ms collecting garbage
Compiler: Compiled 5 817 to 595 computations (89.8% saved)

prune10.0ms (0.2%)

Memory

25.2MiB live, 25.2MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	110	8	118
Fresh	2	6	8
Picked	4	1	5
Done	0	0	0
Total	116	15	131

Accuracy

99.2%

Counts

131 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.2%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	10.1%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(approx (* -1 (* (log base) (log (/ 1 re)))) (.f64 (log.f64 base) (log.f64 re)))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(approx (* -1 (* (log base) (log (/ -1 im)))) (.f64 (log.f64 base) (log.f64 (neg.f64 im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	53.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base)))
▶	10.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))
▶	98.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 im)) (log base))) (/.f64 (log.f64 im) (log.f64 base))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ -1 im)) (log base))) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base))))
▶	3.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) re)
	3.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) im)
	9.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(literal 2 binary64))
▶	9.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(literal 1 binary64))
✓	3.1%	#s(literal 0 binary64)

Compiler

Compiled 1 043 to 698 computations (33.1% saved)

series1.3s (21.3%)

Memory

-79.2MiB live, 1 188.4MiB allocated; 1.3s collecting garbage

Counts

27 → 83

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 im)) (log base))) (/.f64 (log.f64 im) (log.f64 base))))
#s(approx (* -1 (/ (log (/ 1 im)) (log base))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) re)
re
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base)))
#s(literal -1 binary64)
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))
(log.f64 (/.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) re)
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))))
(.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))))
(*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(log.f64 (/.f64 #s(literal -1 binary64) re))
(/.f64 #s(literal -1 binary64) re)
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))))
#s(approx re re)
#s(approx (* -1 (/ (log (/ 1 re)) (log base))) (/.f64 (log.f64 re) (log.f64 base)))
#s(approx (/ (log (/ 1 re)) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 re) (log.f64 base))))
#s(approx (log (/ 1 re)) (*.f64 #s(literal -1 binary64) (log.f64 re)))
#s(approx (/ 1 re) (/.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
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#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (log.f64 base) (fma.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64))))) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base)))
#s(approx (log base) (log.f64 base))
#s(approx base base)
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (* -1 (/ (log (/ 1 im)) (log base))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (/ (log im) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (log base) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (* -1 (/ (log (/ 1 re)) (log base))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (/ (log (/ 1 re)) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (* -1 (* (log base) (log (/ -1 re)))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (* (log base) (log (/ -1 re))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))

Calls

9 calls:

Time	Variable	Point
751.0ms	base	0
86.0ms	base	inf
83.0ms	base	-inf
42.0ms	im	-inf
35.0ms	im	inf

rewrite235.0ms (3.9%)

Memory

32.0MiB live, 358.6MiB allocated; 39ms collecting garbage

Counts

27 → 98

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 im)) (log base))) (/.f64 (log.f64 im) (log.f64 base))))
#s(approx (* -1 (/ (log (/ 1 im)) (log base))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) re)
re
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base)))
#s(literal -1 binary64)
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))
(log.f64 (/.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) re)
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))))
(.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))))
(*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(log.f64 (/.f64 #s(literal -1 binary64) re))
(/.f64 #s(literal -1 binary64) re)
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
#s(approx 2 #s(approx 2 #s(literal 1 binary64)))
#s(approx 2 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
base
#s(approx 2 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(approx 2 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(approx 2 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal -1 binary64)
(neg.f64 (neg.f64 #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
(/.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx 2 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
(/.f64 #s(literal -1 binary64) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(literal -1 binary64)) #s(literal 1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im

eval40.0ms (0.7%)

Memory: 3.1MiB live, 47.6MiB allocated; 19ms collecting garbage
Compiler: Compiled 4 966 to 519 computations (89.5% saved)

prune27.0ms (0.5%)

Memory

1.8MiB live, 46.9MiB allocated; 6ms collecting garbage

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	2	7	9
Picked	2	3	5
Done	0	1	1
Total	98	15	113

Accuracy

99.2%

Counts

113 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	98.2%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	10.1%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(approx (* -1 (* (log base) (log (/ 1 re)))) (.f64 (log.f64 base) (log.f64 re)))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(approx (* -1 (* (log base) (log (/ -1 re)))) (.f64 (log.f64 base) (log.f64 (neg.f64 re))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(approx (* -1 (* (log base) (log (/ -1 im)))) (.f64 (log.f64 base) (log.f64 (neg.f64 im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	53.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base)))
▶	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))
▶	10.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 re)) (log base))) (/.f64 (log.f64 re) (log.f64 base))))
✓	98.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 im)) (log base))) (/.f64 (log.f64 im) (log.f64 base))))
	3.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 im)) (log base))) im))
▶	9.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 im)) (log base))) #s(literal 2 binary64)))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ -1 im)) (log base))) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base))))
✓	3.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) re)
✓	9.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(literal 1 binary64))
✓	3.1%	#s(literal 0 binary64)

Compiler

Compiled 1 005 to 672 computations (33.1% saved)

series991.0ms (16.5%)

Memory

6.2MiB live, 1 527.4MiB allocated; 477ms collecting garbage

Counts

34 → 93

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im)))))
(.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(literal -1 binary64)
(*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(log.f64 base)
base
(log.f64 (/.f64 #s(literal 1 binary64) im))
(/.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
im
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 im)) (log base))) #s(literal 2 binary64)))
#s(approx (* -1 (/ (log (/ 1 im)) (log base))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 re)) (log base))) (/.f64 (log.f64 re) (log.f64 base))))
#s(approx (* -1 (/ (log (/ 1 re)) (log base))) (/.f64 (log.f64 re) (log.f64 base)))
(/.f64 (log.f64 re) (log.f64 base))
(log.f64 re)
re
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))
(log.f64 (/.f64 #s(literal -1 binary64) re))
(/.f64 #s(literal -1 binary64) re)
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(approx (* -1 (* (log base) (log (/ -1 im)))) (.f64 (log.f64 base) (log.f64 (neg.f64 im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(approx (* -1 (* (log base) (log (/ -1 im)))) (*.f64 (log.f64 base) (log.f64 (neg.f64 im)))))
#s(approx (* -1 (* (log base) (log (/ -1 im)))) (*.f64 (log.f64 base) (log.f64 (neg.f64 im))))
(*.f64 (log.f64 base) (log.f64 (neg.f64 im)))
(log.f64 (neg.f64 im))
(neg.f64 im)

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64))))))))))
#s(approx (* -1 (/ (log (/ 1 re)) (log base))) (/.f64 (log.f64 re) (log.f64 base)))
#s(approx (log re) (log.f64 re))
#s(approx re re)
#s(approx (* -1 (/ (log (/ -1 re)) (log base))) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
#s(approx (/ (log (/ -1 re)) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
#s(approx (log (/ -1 re)) (*.f64 #s(literal -1 binary64) (log.f64 (neg.f64 re))))
#s(approx (/ -1 re) (/.f64 #s(literal -1 binary64) re))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (log.f64 base) (fma.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (log re) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (* -1 (/ (log (/ -1 re)) (log base))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) re))) (log.f64 base))))
#s(approx (/ (log (/ -1 re)) (log base)) (/.f64 (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) re))) (log.f64 base)))
#s(approx (log (/ -1 re)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (log.f64 base) (fma.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (/ (log (/ -1 re)) (log base)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
#s(approx (log (/ -1 re)) (log.f64 (/.f64 #s(literal -1 binary64) re)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 6 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (log.f64 base))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 6 binary64))))))))))
#s(approx (* -1 (* (log base) (log (/ 1 im)))) (*.f64 (log.f64 base) (log.f64 im)))
#s(approx (* (log base) (log (/ 1 im))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 im))))
#s(approx (log (/ 1 im)) (*.f64 #s(literal -1 binary64) (log.f64 im)))
#s(approx (/ 1 im) (/.f64 #s(literal 1 binary64) im))
#s(approx im im)
#s(approx (* -1 (/ (log (/ 1 im)) (log base))) (/.f64 (log.f64 im) (log.f64 base)))
#s(approx (* -1 (* (log base) (log (/ -1 im)))) (*.f64 (log.f64 base) (log.f64 (neg.f64 im))))
#s(approx (log (neg im)) (log.f64 (neg.f64 im)))
#s(approx (neg im) (*.f64 #s(literal -1 binary64) im))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (log.f64 base) (fma.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64))))) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (* (log base) (log (/ 1 im))) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (log (/ 1 im)) (log.f64 (/.f64 #s(literal 1 binary64) im)))
#s(approx (* -1 (* (log base) (log (/ -1 im)))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) im))))))
#s(approx (log (neg im)) (*.f64 #s(literal -1 binary64) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) im)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (log.f64 base) (fma.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64))))) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (log (neg im)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base)))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log base) (log.f64 base))
#s(approx base base)
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (* -1 (* (log base) (log (/ 1 im)))) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (* (log base) (log (/ 1 im))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 (/.f64 #s(literal 1 binary64) im)))))
#s(approx (log base) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))
#s(approx (* -1 (/ (log (/ 1 im)) (log base))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (* -1 (/ (log (/ 1 re)) (log base))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (/ (log re) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (* -1 (/ (log (/ -1 re)) (log base))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (/ (log (/ -1 re)) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (* -1 (* (log base) (log (/ -1 im)))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (* (log base) (log (neg im))) (.f64 #s(literal -1 binary64) (.f64 (log.f64 (neg.f64 im)) (log.f64 (/.f64 #s(literal 1 binary64) base)))))

Calls

9 calls:

Time	Variable	Point
136.0ms	base	0
132.0ms	re	inf
112.0ms	base	-inf
100.0ms	re	-inf
96.0ms	im	0

rewrite205.0ms (3.4%)

Memory

-23.9MiB live, 266.2MiB allocated; 57ms collecting garbage

Counts

34 → 123

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im)))))
(.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(literal -1 binary64)
(*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(log.f64 base)
base
(log.f64 (/.f64 #s(literal 1 binary64) im))
(/.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
im
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 im)) (log base))) #s(literal 2 binary64)))
#s(approx (* -1 (/ (log (/ 1 im)) (log base))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 re)) (log base))) (/.f64 (log.f64 re) (log.f64 base))))
#s(approx (* -1 (/ (log (/ 1 re)) (log base))) (/.f64 (log.f64 re) (log.f64 base)))
(/.f64 (log.f64 re) (log.f64 base))
(log.f64 re)
re
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))
(log.f64 (/.f64 #s(literal -1 binary64) re))
(/.f64 #s(literal -1 binary64) re)
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(approx (* -1 (* (log base) (log (/ -1 im)))) (.f64 (log.f64 base) (log.f64 (neg.f64 im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(approx (* -1 (* (log base) (log (/ -1 im)))) (*.f64 (log.f64 base) (log.f64 (neg.f64 im)))))
#s(approx (* -1 (* (log base) (log (/ -1 im)))) (*.f64 (log.f64 base) (log.f64 (neg.f64 im))))
(*.f64 (log.f64 base) (log.f64 (neg.f64 im)))
(log.f64 (neg.f64 im))
(neg.f64 im)

Outputs
(/.f64 #s(approx 2 #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx 2 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal -1 binary64)
(neg.f64 (neg.f64 #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
base
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(approx 2 #s(approx 2 #s(literal 1 binary64)))
#s(approx 2 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(approx 2 #s(approx 2 #s(literal 1 binary64)))
#s(approx 2 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(approx 2 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
(/.f64 #s(approx 2 #s(approx 2 #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx 2 #s(approx 2 #s(literal 1 binary64)))
#s(approx 2 #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
re
im

eval19.0ms (0.3%)

Memory: 1.8MiB live, 48.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 5 556 to 581 computations (89.5% saved)

prune7.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	0	6	6
Picked	2	3	5
Done	0	4	4
Total	111	15	126

Accuracy

99.2%

Counts

126 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	10.1%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(approx (* -1 (* (log base) (log (/ 1 re)))) (.f64 (log.f64 base) (log.f64 re)))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.2%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(approx (* -1 (* (log base) (log (/ 1 im)))) (.f64 (log.f64 base) (log.f64 im)))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(approx (* -1 (* (log base) (log (/ -1 re)))) (.f64 (log.f64 base) (log.f64 (neg.f64 re))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	0.0%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(approx (* -1 (* (log base) (log (/ -1 im)))) (.f64 (log.f64 base) (log.f64 (neg.f64 im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	53.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base)))
✓	10.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 re)) (log base))) (/.f64 (log.f64 re) (log.f64 base))))
✓	98.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 im)) (log base))) (/.f64 (log.f64 im) (log.f64 base))))
	3.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 im)) (log base))) im))
✓	9.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 im)) (log base))) #s(literal 2 binary64)))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ -1 re)) (log base))) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
	0.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ -1 im)) (log base))) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base))))
✓	3.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) re)
✓	9.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(literal 1 binary64))
✓	3.1%	#s(literal 0 binary64)

Compiler

Compiled 568 to 379 computations (33.3% saved)

regimes118.0ms (2%)

Memory

-32.6MiB live, 160.4MiB allocated; 14ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

9 → 1

28 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Call 2

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(literal 1 binary64))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(literal 2 binary64))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) im)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) re)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 im)) (log base))) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 im)) (log base))) im))

Outputs
#s(literal 1 binary64)

Call 3

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(literal 1 binary64))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(literal 2 binary64))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) im)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) re)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 im)) (log base))) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 im)) (log base))) im))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 im)) (log base))) (/.f64 (log.f64 im) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 re)) (log base))) (/.f64 (log.f64 re) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ -1 im)) (log base))) (/.f64 (log.f64 (neg.f64 im)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ -1 re)) (log base))) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(approx (* -1 (* (log base) (log (/ 1 im)))) (.f64 (log.f64 base) (log.f64 im)))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(approx (* -1 (* (log base) (log (/ 1 re)))) (.f64 (log.f64 base) (log.f64 re)))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(approx (* -1 (* (log base) (log (/ -1 im)))) (.f64 (log.f64 base) (log.f64 (neg.f64 im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) #s(approx (* -1 (* (log base) (log (/ -1 re)))) (.f64 (log.f64 base) (log.f64 (neg.f64 re))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) re))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Outputs

#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (* -1 (/ (log (/ 1 im)) (log base))) (/.f64 (log.f64 im) (log.f64 base))))

Calls

15 calls:

23.0ms	(log.f64 base)
22.0ms	im
9.0ms	base
8.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
8.0ms	im

Results

Accuracy	Segments	Branch
3.1%	1	`re`
3.1%	1	`im`
3.1%	1	`(log.f64 base)`
3.1%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
3.1%	1	`base`
9.7%	1	`(log.f64 base)`
9.7%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
9.7%	1	`re`
9.7%	1	`im`
9.7%	1	`base`
98.5%	1	`(log.f64 base)`
98.5%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
98.5%	1	`re`
98.5%	1	`im`
98.5%	1	`base`

Compiler

Compiled 1 061 to 243 computations (77.1% saved)

derivations1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 46 to 31 computations (32.6% saved)

preprocess50.0ms (0.8%)

Memory

5.8MiB live, 102.1MiB allocated; 10ms collecting garbage

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 350 to 271 computations (22.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze162.0ms (2.7%)

sample1.4s (23.8%)

preprocess36.0ms (0.6%)

series335.0ms (5.6%)

rewrite182.0ms (3%)

eval59.0ms (1%)

prune17.0ms (0.3%)

series577.0ms (9.6%)

rewrite209.0ms (3.5%)

eval12.0ms (0.2%)

prune10.0ms (0.2%)

series1.3s (21.3%)

rewrite235.0ms (3.9%)

eval40.0ms (0.7%)

prune27.0ms (0.5%)

series991.0ms (16.5%)

rewrite205.0ms (3.4%)

eval19.0ms (0.3%)

prune7.0ms (0.1%)

regimes118.0ms (2%)

derivations1.0ms (0%)

preprocess50.0ms (0.8%)

end0.0ms (0%)

Profiling